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ConceptStatistics - Karl Pearson’s Coefficient of Correlation

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#### Question

For 10 pairs of observations on two variables X and Y, the following data are available:

`sum(x-2)=30, sum(y-5)=40, sum(x-2)^2=900, sum(y-5)^2=800, sum(x-2)(y-5)=480`

Find the correlation coefficient between X and Y.

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In the following data, one of the values of Y is missing. Arithmetic means of X and Y series are 6 and 8

X | 6 | 2 | 10 | 4 | 8 |

Y | 9 | 11 | ? | 8 | 7 |

(a) Estimate the missing observation.

(b) Calculate correlation coefficient.

Solution for concept: Statistics - Karl Pearson’s Coefficient of Correlation. For the courses 12th HSC Arts, 12th HSC Commerce, 12th HSC Commerce (Marketing and Salesmanship), 12th HSC Science (Computer Science), 12th HSC Science (Electronics), 12th HSC Science (General)